UN PROBLEMA TRIDIMENSIONALE DI TRASPORTO FUORI DI UNA SFERA RIFLETTENTE

Authors

  • L Bassi Dipartimento di Matematica “Vito Volterra”, Università degli Studi di Ancona.
  • P Gamba Dipartimento di Matematica “Vito Volterra”, Università degli Studi di Ancona.

Abstract

In this paper we study the linear monoenergetic Boltzmann equation in the space
external to a sphere ofradius n> f} with specular refiectionboundary conditions- By means oftheory
of linear positive operator semigroups in Banach spaces we Show that streaming operator is the
infinitesimal generator ofa strongly continuous; semigroup of positive contractions. of which we
give the explicit form, and that Boltzmann ope rator is the infinitesimal generator of an irreducible
Strongly continuous semigroup- Moreover we study completely the spectrum of streaming
operator,

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Published

1991-02-18

Issue

Vol. 2 (1991)

Section

Volume 2-1991

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